add rref from RowEchelon.jl

[pranshumalik14]

Adding rref into LinearAlgebra. Currently under draft to get build and coverage updates.

[DilumAluthge]

Out of curiosity, why does this need to go into the LinearAlgebra stdlib? If it is currently working fine in a package, wouldn't it be better to just keep it in a package?

[pranshumalik14]

The package RowEchelon.jl is waiting to be integrated into the family of standard linalg operations. It is a handy function, often used to check hand calculations. Issue #9804 has a long discussion about it. There is also an option to put this into GenericLinearAlgebra.jl (#17). I am open to receive any feedback on where this would fit better because I also see that rank is being deprecated and to be moved somewhere else. If a plan for this is finalized somewhere, I would be happy to go over it and work on this accordingly.

[DilumAluthge]

I would rather add this to GenericLinearAlgebra.jl than to a stdlib. It's much easier to develop, improve, and release code in packages than stdlibs, because stdlibs are constrained by the development and release cycle of the Julia language.

[pranshumalik14]

Mhmm, that makes sense! My only fear at the moment is that GenericLinearAlgebra.jl has type piracy breaking things in many packages; my understanding of this topic is limited, but yeah I agree with you. It is more practical to have it there. Hopefully, this piracy issue gets resolved soon so that GLA is more amenable to be used in packages in the future.